Find the area of the figure to the nearest hundredth.
1 answer:
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Answer:
Step-by-step explanation:
We have a sample of size n = 35, and
. As we want to construct a 95% confidence interval to estimate the value of the true population mean
, we should use the pivotal quantity given by
which comes from the t distribution with n - 1 = 35 - 1 = 34 degrees of freedom. Besides we should use the t-value
, i.e., regarding the t-distribution with 34 degrees of freedom, we have an area of 0.025 above 2.0322 and below the probability density function. The rationale behind this is that
because of the simmetry of the t distribution.
Answer:
Step-by-step explanation:
A. The first inequality is graphed as a shaded area below the solid line with x-and y-intercepts of 7.5 and 5, respectively. The second inequality is graphed as a shaded area above the solid line with x- and y-intercepts of 3.
The solution set is the set of integer-valued grid points one or between the lines.
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B. The point (5, 1) is included in the solution area. Mathematically, it can be shown to satisfy the two inequalities:
2(5) +3(1) ≤ 15 ⇒ 13 ≤ 15 True
(5) +(1) ≥ 3 ⇒ 6 ≥ 3 True
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C. The point (5, 1) is in the solution set. It means Michael can purchase 5 sandwiches and 1 hot lunch within his budget constraints. That will provide 6 meals, which is more than the minimum of 3 that he wants to provide.
